14340421110400 has 768 divisors, whose sum is σ = 45196148689920. Its totient is φ = 4366725120000.

The previous prime is 14340421110347. The next prime is 14340421110413. The reversal of 14340421110400 is 401112404341.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1924626675 + ... + 1924634125.

It is an arithmetic number, because the mean of its divisors is an integer number (58849151940).

Almost surely, 2^{14340421110400} is an apocalyptic number.

14340421110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14340421110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22598074344960).

14340421110400 is an abundant number, since it is smaller than the sum of its proper divisors (30855727579520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14340421110400 is a wasteful number, since it uses less digits than its factorization.

14340421110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 14340421110400 its reverse (401112404341), we get a palindrome (14741533514741).

The spelling of 14340421110400 in words is "fourteen trillion, three hundred forty billion, four hundred twenty-one million, one hundred ten thousand, four hundred".